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Finding the Fourth Proportional to 102,992.20, 154,373.10 and 43,817.80

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Solution

The fourth proportional to 102,992.20, 154,373.10 and 43,817.80 is: 65,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.20 : 154,373.10 = 43,817.80 : x
  2. Step 2: Convert to fraction form
    102,992.20/154,373.10 = 43,817.80/x
  3. Step 3: Cross multiply
    102,992.20x = 154,373.10 × 43,817.80
  4. Step 4: Simplify right side
    102,992.20x = 6,764,289,621.18
  5. Step 5: Solve for x
    x = 6,764,289,621.18/102,992.20
  6. Step 6: Final answer
    x = 65,677.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.